• EQUITABLE TOTAL MINIMAL DOMINATING GRAPH
Abstract
The equitable total minimal dominating graph of a graph is defined to be the intersection graph on the minimal equitable total dominating sets of vertices in . In this paper, we obtain some properties of equitable total minimal dominating graph. Finally, we establish the characterizations of graphs whose equitable total minimal dominating graphs are complete and eulerian.
Keywords
total domination number, equitable total dominating set, equitable total domination number, equitable total minimal dominating graph.
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